   Chapter 32, Problem 39PE

Chapter
Section
Textbook Problem

Integrated ConceptsThe laser system tested for inertial con?nement can produce a 100−kJ pulse only 1.000 ns in duration. (a) What is the power output of the laser system during the brief pulse?(b) How many photons are in the pulse, given their wavelength is 1.06 (m?(c) What is the total momentum of all these photons?(d) How does the total photon momentum compare with that of a single 1.00 MeV deuterium nucleus?

To determine

(a)

The power output of the laser system during the brief pulse.

Explanation

Given:

Energy of the pulse

E=100 kJ

Time duration of the pulse

t=1.00 ns

Formula used:

Power is defined as the energy delivered per unit time.

P=Et

Calculation:

Express the energy E and time t in SI units of joules and seconds.

E=100 kJ×1000 J1 kJ=1.00×105J

t=1.00 ns× 10 9s1 s=1

To determine

(b)

The number of photons in the laser pulse.

To determine

(c)

The total momentum of the photons in the pulse.

To determine

(d)

How the total momentum of the photons compares with the momentum of a single 1.00 MeV deuterium nucleus.

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